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228347134800 = 243521711193487
BaseRepresentation
bin1101010010101010001…
…1001100001101010000
3210211101220102100001220
43110222203030031100
512220123331303200
6252522355325040
722332440422611
oct3245243141520
9724356370056
10228347134800
1188929006134
1238308bb0780
13186c112bc15
14b0a2bd3c08
155e16e0a4a0
hex352a8cc350

228347134800 has 120 divisors (see below), whose sum is σ = 774499821696. Its totient is φ = 57310648320.

The previous prime is 228347134789. The next prime is 228347134811. The reversal of 228347134800 is 8431743822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228347134789) and next prime (228347134811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5576344 + ... + 5617143.

Almost surely, 2228347134800 is an apocalyptic number.

228347134800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228347134800 is an abundant number, since it is smaller than the sum of its proper divisors (546152686896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228347134800 is a wasteful number, since it uses less digits than its factorization.

228347134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11193525 (or 11193514 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 228347134800 in words is "two hundred twenty-eight billion, three hundred forty-seven million, one hundred thirty-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 11193487 22386974 33580461 44773948 55967435 67160922 89547896 111934870 134321844 167902305 179095792 190289279 223869740 268643688 279837175 335804610 380578558 447739480 537287376 559674350 570867837 671609220 761157116 839511525 895478960 951446395 1119348700 1141735674 1343218440 1522314232 1679023050 1902892790 2238697400 2283471348 2686436880 2854339185 3044628464 3358046100 3805785580 4477394800 4566942696 4757231975 5708678370 6716092200 7611571160 9133885392 9514463950 11417356740 13432184400 14271695925 15223142320 19028927900 22834713480 28543391850 38057855800 45669426960 57086783700 76115711600 114173567400 228347134800